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Finding the Third Proportional to 9,806 and 18,268

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Solution

The third proportional to 9,806 and 18,268 is: 34,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806 : 18,268 = 18,268 : x
  2. Step 2: Convert to fraction form
    9,806/18,268 = 18,268/x
  3. Step 3: Cross multiply
    9,806x = 18,268 × 18,268
  4. Step 4: Simplify right side
    9,806x = 333,719,824
  5. Step 5: Solve for x
    x = 333,719,824/9,806
  6. Step 6: Final answer
    x = 34,032.21

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.